145804006390784 has 176 divisors, whose sum is σ = 352235428478976. Its totient is φ = 58996784332800.

The previous prime is 145804006390759. The next prime is 145804006390793. The reversal of 145804006390784 is 487093600408541.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1108577 + ... + 17112479.

Almost surely, 2^{145804006390784} is an apocalyptic number.

145804006390784 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145804006390784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176117714239488).

145804006390784 is an abundant number, since it is smaller than the sum of its proper divisors (206431422088192).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

145804006390784 is a wasteful number, since it uses less digits than its factorization.

145804006390784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16004002 (or 16003984 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 59.

The spelling of 145804006390784 in words is "one hundred forty-five trillion, eight hundred four billion, six million, three hundred ninety thousand, seven hundred eighty-four".